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A proposed screening algorithm for bone remodelling
European Journal of Applied Mathematics ( IF 1.9 ) Pub Date : 2020-12-23 , DOI: 10.1017/s0956792520000418
C. F. ARIAS , F. BERTOCCHINI , M. A. HERRERO , J. M. LÓPEZ , G. E. OLEAGA

One of the most remarkable aspects of human homoeostasis is bone remodelling. This term denotes the continuous renewal of bone that takes place at a microscopic scale and ensures that our skeleton preserves its full mechanical compliance during our lives. We propose here that a renewal process of this type can be represented at an algorithmic level as the interplay of two different but related mechanisms. The first of them is a preliminary screening process, by means of which the whole skeleton is thoroughly and continuously explored. This is followed by a renovation process, whereby regions previously marked for renewal are first destroyed and then rebuilt, in such a way that global mechanical compliance is never compromised. In this work, we pay attention to the first of these two stages. In particular, we show that an efficient screening mechanism may arise out of simple local rules, which at the biological level are inspired by the possibility that individual bone cells compute signals from their nearest local neighbours. This is shown to be enough to put in place a process which thoroughly explores the region where such mechanism operates.

中文翻译:

一种推荐的骨重塑筛选算法

人类体内平衡最显着的方面之一是骨骼重塑。该术语表示骨骼在微观尺度上的持续更新,并确保我们的骨骼在我们的生活中保持其完全的机械顺应性。我们在这里建议,这种类型的更新过程可以在算法级别表示为两种不同但相关的机制的相互作用。其中第一个是初步筛选过程,通过该过程对整个骨架进行彻底和不断的探索。紧随其后的是翻新过程,在此之前标记为更新的区域首先被破坏然后重建,以确保全球机械合规性永远不会受到影响。在这项工作中,我们关注这两个阶段中的第一个。特别是,我们表明,一种有效的筛选机制可能源于简单的局部规则,在生物学水平上,这些规则受到个体骨细胞计算来自其最近的局部邻居的信号的可能性的启发。事实证明,这足以建立一个彻底探索这种机制运作的区域的过程。
更新日期:2020-12-23
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